TSTP Solution File: KRS076+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS076+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:26:18 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 119 ( 58 ~; 53 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
! [A,B,C] :
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168753232,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_10,plain,
! [A,B] :
( ~ rs(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168818640,plain,
( ~ rs(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(axiom_2,plain,
! [A,D,G,F,I] :
( ( rf1(A,y_nn_2(A))
| ~ cunsatisfiable(A) )
& ( ~ cp(y_nn_2(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(w_nn_5(A,D))
| ~ rinvf1(y_nn_2(A),D)
| ~ cunsatisfiable(A) )
& ( rs(D,w_nn_5(A,D))
| ~ rinvf1(y_nn_2(A),D)
| ~ cunsatisfiable(A) )
& ( rf(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cp(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rinvf1(G,z(A,D,F,G))
| cp(G)
| ~ rf1(A,G)
| ~ rf(A,F)
| ~ cp(F)
| cunsatisfiable(A) )
& ( ~ rs(z(A,D,F,G),I)
| ~ cowlthing(I)
| cp(G)
| ~ rf1(A,G)
| ~ rf(A,F)
| ~ cp(F)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168718496,plain,
( rs(D,w_nn_5(A,D))
| ~ rinvf1(y_nn_2(A),D)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_9,plain,
cunsatisfiable(i2003_11_14_17_19_06193),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168813104,plain,
cunsatisfiable(i2003_11_14_17_19_06193),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(174136128,plain,
( rs(C,w_nn_5(i2003_11_14_17_19_06193,C))
| ~ rinvf1(y_nn_2(i2003_11_14_17_19_06193),C) ),
inference(resolution,[status(thm)],[168718496,168813104]),
[] ).
fof(axiom_6,plain,
! [A,B] :
( ( ~ rinvf1(A,B)
| rf1(B,A) )
& ( rinvf1(A,B)
| ~ rf1(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168776944,plain,
( rinvf1(A,B)
| ~ rf1(B,A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(168732160,plain,
( rf1(A,y_nn_2(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(174094456,plain,
rf1(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168732160,168813104]),
[] ).
cnf(174301448,plain,
rinvf1(y_nn_2(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference(resolution,[status(thm)],[168776944,174094456]),
[] ).
cnf(174402888,plain,
rs(i2003_11_14_17_19_06193,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[174136128,174301448]),
[] ).
cnf(174426128,plain,
rf1(i2003_11_14_17_19_06193,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168818640,174402888]),
[] ).
cnf(174534784,plain,
( ~ rf1(i2003_11_14_17_19_06193,A)
| $equal(A,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
inference(resolution,[status(thm)],[168753232,174426128]),
[] ).
cnf(174548480,plain,
$equal(y_nn_2(i2003_11_14_17_19_06193),w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[174534784,174094456]),
[] ).
fof(rs_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rs(C,A)
| rs(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168556904,plain,
( ~ $equal(B,A)
| ~ rs(C,A)
| rs(C,B) ),
inference(rewrite,[status(thm)],[rs_substitution_2]),
[] ).
fof(axiom_11,plain,
! [A,B] :
( ~ rs(A,B)
| rf(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168823816,plain,
( ~ rs(A,B)
| rf(A,B) ),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
fof(axiom_3,plain,
! [A,B,C] :
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168744888,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(cp_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp(A)
| cp(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),
[] ).
cnf(168479512,plain,
( ~ $equal(B,A)
| ~ cp(A)
| cp(B) ),
inference(rewrite,[status(thm)],[cp_substitution_1]),
[] ).
cnf(168681504,plain,
( cp(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(174053128,plain,
cp(y_nn_3(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168681504,168813104]),
[] ).
cnf(174156136,plain,
( ~ $equal(A,y_nn_3(i2003_11_14_17_19_06193))
| cp(A) ),
inference(resolution,[status(thm)],[168479512,174053128]),
[] ).
cnf(168725576,plain,
( ~ cp(y_nn_2(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(174080592,plain,
~ cp(y_nn_2(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168725576,168813104]),
[] ).
cnf(174291392,plain,
~ $equal(y_nn_2(i2003_11_14_17_19_06193),y_nn_3(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[174156136,174080592]),
[] ).
cnf(174615200,plain,
( ~ rf(A,y_nn_3(i2003_11_14_17_19_06193))
| ~ rf(A,y_nn_2(i2003_11_14_17_19_06193)) ),
inference(resolution,[status(thm)],[168744888,174291392]),
[] ).
cnf(168688504,plain,
( rf(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(174064088,plain,
rf(i2003_11_14_17_19_06193,y_nn_3(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168688504,168813104]),
[] ).
cnf(174631968,plain,
~ rf(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[174615200,174064088]),
[] ).
cnf(174708568,plain,
~ rs(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193)),
inference(resolution,[status(thm)],[168823816,174631968]),
[] ).
cnf(174763392,plain,
( ~ $equal(y_nn_2(i2003_11_14_17_19_06193),A)
| ~ rs(i2003_11_14_17_19_06193,A) ),
inference(resolution,[status(thm)],[168556904,174708568]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174548480,174763392,174402888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168753232,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_10,plain,(~rs(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168818640,plain,(~rs(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(axiom_2,plain,(((rf1(A,y_nn_2(A))|~cunsatisfiable(A))&(~cp(y_nn_2(A))|~cunsatisfiable(A))&(cowlthing(w_nn_5(A,D))|~rinvf1(y_nn_2(A),D)|~cunsatisfiable(A))&(rs(D,w_nn_5(A,D))|~rinvf1(y_nn_2(A),D)|~cunsatisfiable(A))&(rf(A,y_nn_3(A))|~cunsatisfiable(A))&(cp(y_nn_3(A))|~cunsatisfiable(A))&(rinvf1(G,z(A,D,F,G))|cp(G)|~rf1(A,G)|~rf(A,F)|~cp(F)|cunsatisfiable(A))&(~rs(z(A,D,F,G),I)|~cowlthing(I)|cp(G)|~rf1(A,G)|~rf(A,F)|~cp(F)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168718496,plain,(rs(D,w_nn_5(A,D))|~rinvf1(y_nn_2(A),D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_19_06193)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168813104,plain,(cunsatisfiable(i2003_11_14_17_19_06193)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(174136128,plain,(rs(C,w_nn_5(i2003_11_14_17_19_06193,C))|~rinvf1(y_nn_2(i2003_11_14_17_19_06193),C)),inference(resolution,[status(thm)],[168718496,168813104]),[]).
%
% fof(axiom_6,plain,(((~rinvf1(A,B)|rf1(B,A))&(rinvf1(A,B)|~rf1(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168776944,plain,(rinvf1(A,B)|~rf1(B,A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(168732160,plain,(rf1(A,y_nn_2(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(174094456,plain,(rf1(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168732160,168813104]),[]).
%
% cnf(174301448,plain,(rinvf1(y_nn_2(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)),inference(resolution,[status(thm)],[168776944,174094456]),[]).
%
% cnf(174402888,plain,(rs(i2003_11_14_17_19_06193,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[174136128,174301448]),[]).
%
% cnf(174426128,plain,(rf1(i2003_11_14_17_19_06193,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168818640,174402888]),[]).
%
% cnf(174534784,plain,(~rf1(i2003_11_14_17_19_06193,A)|$equal(A,w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168753232,174426128]),[]).
%
% cnf(174548480,plain,($equal(y_nn_2(i2003_11_14_17_19_06193),w_nn_5(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[174534784,174094456]),[]).
%
% fof(rs_substitution_2,plain,(~$equal(B,A)|~rs(C,A)|rs(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168556904,plain,(~$equal(B,A)|~rs(C,A)|rs(C,B)),inference(rewrite,[status(thm)],[rs_substitution_2]),[]).
%
% fof(axiom_11,plain,(~rs(A,B)|rf(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168823816,plain,(~rs(A,B)|rf(A,B)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% fof(axiom_3,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168744888,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(cp_substitution_1,plain,(~$equal(B,A)|~cp(A)|cp(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS076+1.tptp',unknown),[]).
%
% cnf(168479512,plain,(~$equal(B,A)|~cp(A)|cp(B)),inference(rewrite,[status(thm)],[cp_substitution_1]),[]).
%
% cnf(168681504,plain,(cp(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(174053128,plain,(cp(y_nn_3(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168681504,168813104]),[]).
%
% cnf(174156136,plain,(~$equal(A,y_nn_3(i2003_11_14_17_19_06193))|cp(A)),inference(resolution,[status(thm)],[168479512,174053128]),[]).
%
% cnf(168725576,plain,(~cp(y_nn_2(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(174080592,plain,(~cp(y_nn_2(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168725576,168813104]),[]).
%
% cnf(174291392,plain,(~$equal(y_nn_2(i2003_11_14_17_19_06193),y_nn_3(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[174156136,174080592]),[]).
%
% cnf(174615200,plain,(~rf(A,y_nn_3(i2003_11_14_17_19_06193))|~rf(A,y_nn_2(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168744888,174291392]),[]).
%
% cnf(168688504,plain,(rf(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(174064088,plain,(rf(i2003_11_14_17_19_06193,y_nn_3(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168688504,168813104]),[]).
%
% cnf(174631968,plain,(~rf(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[174615200,174064088]),[]).
%
% cnf(174708568,plain,(~rs(i2003_11_14_17_19_06193,y_nn_2(i2003_11_14_17_19_06193))),inference(resolution,[status(thm)],[168823816,174631968]),[]).
%
% cnf(174763392,plain,(~$equal(y_nn_2(i2003_11_14_17_19_06193),A)|~rs(i2003_11_14_17_19_06193,A)),inference(resolution,[status(thm)],[168556904,174708568]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174548480,174763392,174402888]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------